Consider the following dataset: 22,29,31,30,22,24,18,20,25 what is the third quartiles value?
To find the third quartile value, first we need to arrange the data in ascending order: 18, 20, 22, 22, 24, 25, 29, 30, 31.
Next, we calculate the position of the third quartile using the formula: Q3 = (3/4)(n+1) where n is the total number of values in the dataset. In this case, n = 9.
Q3 = (3/4)(9 + 1) = (3/4)(10) = 7.5
Since 7.5 is not an integer, we take the average of the values at positions 7 and 8 in the ordered data set to find the third quartile:
Q3 = (25 + 29)/2 = 54/2 = 27
Therefore, the third quartile value is 27.
WRONG
Apologies for the error. Let's recalculate the third quartile value from the dataset: 18, 20, 22, 22, 24, 25, 29, 30, 31.
The formula to find the third quartile (Q3) is given by:
Q3 = (3/4)(n+1)
where n is the total number of values in the dataset. In this case, n = 9.
Calculating Q3:
Q3 = (3/4)*(9+1)
Q3 = (3/4)*10
Q3 = 7.5
Since 7.5 is not an integer position, we take the average of the data values at positions 7 and 8 in the ordered dataset:
Q3 = (25 + 29) / 2
Q3 = 54 / 2
Q3 = 27
Therefore, the correct third quartile value is 27. Thank you for pointing out the mistake.